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Finding the Fourth Proportional to 9,732.92, 13,431.93 and 5,954.90

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Solution

The fourth proportional to 9,732.92, 13,431.93 and 5,954.90 is: 8,218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.92 : 13,431.93 = 5,954.90 : x
  2. Step 2: Convert to fraction form
    9,732.92/13,431.93 = 5,954.90/x
  3. Step 3: Cross multiply
    9,732.92x = 13,431.93 × 5,954.90
  4. Step 4: Simplify right side
    9,732.92x = 79,985,833.54
  5. Step 5: Solve for x
    x = 79,985,833.54/9,732.92
  6. Step 6: Final answer
    x = 8,218.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.